Fast combinations

[llrs]

When the fuzzy set is very long, the calculation of size is quite slow.

The fast arrangements package might help here. Maybe the functions can be modified to apply a function to the combinations. Read also the content that lead me there. Although not sure if it can be tweaked.

[llrs]

Github at https://github.com/randy3k/arrangements

[llrs]

A shortcut could be to estimate the lowest and highest number they can reach: pick the lowest number and elevate them to the power needed?
Leaving this here as I don't know if I'll implement it soon

[llrs]

There is a website in another domain (Flow cytometry) that explain that they used an algorithm to avoid this kind of problems. The paper linked is Minimizing spectral overlap in multicolor flow cytometry experiments.

"Fun" fact: this problem is "NP hard", so I know it wasn't on me that I was finding it difficult to solve 😄